Home theater SOTA is HDMI 1.3, 1080p and 5 or 7.1 using one of the lossless formats on bluray discs - as well as Audyssey MultiEQ.
The standards look like they will hold for a few years - if only because the software industry (ie the studios) have not even begun to take advantage of what is already possible and are unlikely to invest in supporting even newer standards in the immediate future. (For context, there is still considerable debate about consumer bluray adoption versus DVDs)
Audyssey is a third party program sold to OEMs. It will continue to evolve by adding new features since that is the core of its business model. However what is already there is very, very good. Don't believe me, read Stereophile.
The Integra 9.8 does all of this very, very well. The GUI is consistent and is a piece of cake which cannot be said about a lot of its competitors. My new test is to download the owners manuals to compare what is involved in doing various tasks. Try it and see if you like it...
The Integra will easily handle your DirectTV with audio follows video switching rather then mucking about with a bunch of boxes. It will gracefully do this with all of your sources.
It's sub handling (LFE) is very flexible.
It's got inputs up the ying yang though all I use is HDMI - I can't imagine ever going back to anything else in a HT setting
There are no doubt better preamps for turntables and other analog sources. What do you want for a grand...
Seems to me you have to balance your current needs with where you plan to go from here. I would guess that the Anthem represents the near past in technology - I had their PVA-7 amp and they make great stuff. I also (still) have the Integra - and I see myself keeping it a good long while.